Organizers: B. Klartag and R. McCann

OVERVIEW

October 25-29, 2010 Concentration period on Partial Differential
Equations and Geometric Analysis
November 1-5, 2010 Workshop on Geometric Probability and Optimal
Transportation
November 8, 2010 Concentration period on Nonlinear Dynamics and
Applications

The Nov 1-5 Workshop is devoted to the investigation of geometric
and probablistic questions through the use of optimal transportation.
Topics to be addressed include convex geometry, inequalities and
isoperimetry, notions of curvature (sectional, Ricci, and scalar)
in metric-measure spaces, high dimensional limits, geometrization
of the space of probability measures, and dynamics thereon --- dissipative
and conservative, classical, fluid, quantum, and geometrical flows.

The Workshop will be preceded by a week devoted to partial differential
equations and geometric analysis (Oct 25-29), focused especially
on recent developments concerning regularity of optimal maps, the
infinity Laplacian, mean-field games, fully nonlinear degenerate
elliptic equations of Monge-Ampere type, and design problems from
engineering to economics. The workshop will be followed by several
days devoted to nonlinear dynamics and applications (Nov 8-10),
including pattern formation, diffusive dynamics, kinetic theory,
solid, fluid and wave mechanics, and the weak KAM theory.

If you are willing to give a talk during the Workshop or its
adjacent concentration periods "Partial Differential Equations
and Geometric Analysis" ( Oct 25-29) and "Nonlinear Dynamics
and Applications" (Nov 8), please suggest a title and abstract.
Note that although not all participants will be able to speak, all
submitted abstracts will be compiled and distributed, to facilitate
the exchange of ideas. Time will also be allocated to short communications
and to poster presentations.